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Finding the Third Proportional to 91,537,415 and 138,157,371

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Solution

The third proportional to 91,537,415 and 138,157,371 is: 208,520,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,537,415 : 138,157,371 = 138,157,371 : x
  2. Step 2: Convert to fraction form
    91,537,415/138,157,371 = 138,157,371/x
  3. Step 3: Cross multiply
    91,537,415x = 138,157,371 × 138,157,371
  4. Step 4: Simplify right side
    91,537,415x = 19,087,459,161,631,640
  5. Step 5: Solve for x
    x = 19,087,459,161,631,640/91,537,415
  6. Step 6: Final answer
    x = 208,520,845.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.